Question

Which of the following angles cannot be constructed using a protractor?
A) $45^\circ $
B) $34.6^\circ$
C) $60^\circ $
D) $27^\circ $

Answer 1

Hint:
This question is based on the concept of angles and measurements.
 With the help of the protector we can only construct the angles which are in the form of integers.
Thus, eliminate the option which is not in the form of integers.

Complete step by step solution:
With the help of the protractor, we can construct the angles like $90^\circ ,60,^\circ 45^\circ ,27^\circ $ and its bisector of an angle. So, it is not possible to construct an angle of $34.6^\circ $ with the protractor.

Hence, option (B) is correct.

Note:
Protractor: A protractor is a measuring instrument, which is used for measuring angles. Protractor are half – discs, which can be used to help measure the angles.
Typical Protractor: Most Protractor measures angles in degrees. Radian scale protractor measures angles in radians. Most protractors are divided into 180 equal parts.